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Simplifying x2 + 35x + 318 = 0 Reorder the terms: 318 + 35x + x2 = 0 Solving 318 + 35x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-318' to each side of the equation. 318 + 35x + -318 + x2 = 0 + -318 Reorder the terms: 318 + -318 + 35x + x2 = 0 + -318 Combine like terms: 318 + -318 = 0 0 + 35x + x2 = 0 + -318 35x + x2 = 0 + -318 Combine like terms: 0 + -318 = -318 35x + x2 = -318 The x term is 35x. Take half its coefficient (17.5). Square it (306.25) and add it to both sides. Add '306.25' to each side of the equation. 35x + 306.25 + x2 = -318 + 306.25 Reorder the terms: 306.25 + 35x + x2 = -318 + 306.25 Combine like terms: -318 + 306.25 = -11.75 306.25 + 35x + x2 = -11.75 Factor a perfect square on the left side: (x + 17.5)(x + 17.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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